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Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, 2011, Issue 13, Pages 49–58 (Mi vchgu51)  
Differential equations

Asymptotic of boundary value problem solution for elliptic equation in domain with small holes

E. Yu. Postnikova

Chelyabinsk State University
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Abstract: We construct an asymptotic expansion of the boundary value problem solution for elliptic equation in domain with two small holes. We also prove that the constructed formal asymptotic series is а true asymptotic expansion.
Keywords: asymptotic expansion, Laplace equation, boundary value problem, small parameter.
Document Type: Article
Language: Russian
Citation: E. Yu. Postnikova, “Asymptotic of boundary value problem solution for elliptic equation in domain with small holes”, Vestnik Chelyabinsk. Gos. Univ., 2011, no. 13, 49–58
Citation in format AMSBIB
\Bibitem{Pos11}
\by E.~Yu.~Postnikova
\paper Asymptotic of boundary value problem solution for elliptic equation in domain with small holes
\jour Vestnik Chelyabinsk. Gos. Univ.
\yr 2011
\issue 13
\pages 49--58
\mathnet{http://mi.mathnet.ru/vchgu51}
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